{"id":7438,"date":"2022-12-06T19:45:46","date_gmt":"2022-12-06T18:45:46","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=7438"},"modified":"2022-12-09T09:53:08","modified_gmt":"2022-12-09T08:53:08","slug":"on-the-infinite-dimension-limit-of-invariant-measures-and-solutions-of-zeitlins-2d-euler-equations","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/on-the-infinite-dimension-limit-of-invariant-measures-and-solutions-of-zeitlins-2d-euler-equations\/","title":{"rendered":"On the infinite dimension limit of invariant measures and solutions of Zeitlin&#8217;s 2D Euler equations &ndash; Milo Viviani (Centro de Giorgi)"},"content":{"rendered":"\n<p>In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V. Zeitlin, and show their convergence towards a solution of the Euler equations with marginals distributed as the enstrophy measure. The method relies on nontrivial computations on the structure constants of the Poisson algebra of functions on S\u00b2, that appear to be new. Finally, we discuss the problem of extending our results to Gibbsian measures associated with higher Casimirs, via Zeitlin\u2019s model.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V.&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/on-the-infinite-dimension-limit-of-invariant-measures-and-solutions-of-zeitlins-2d-euler-equations\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":105,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-7438","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1670940000,"unipievents_enddate":1670943600,"unipievents_place":"Sala Seminari","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7438","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/105"}],"version-history":[{"count":4,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7438\/revisions"}],"predecessor-version":[{"id":7457,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7438\/revisions\/7457"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=7438"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=7438"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=7438"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}